Level 3
34 of a rectangular tank, 90 cm by 8 cm by 5 cm, is filled with water. A cubical container of edge 18 cm is filled with water to a depth of 15 cm. If the water in the rectangular tank is transferred to the cubical container until it is filled to its brim, how many litres of water will be left in the rectangular tank?
3 m
Level 3
A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.
3 m
Level 3
The figure shows an empty container. It is made from two cubical tanks. Tanks, Cube A and Cube B, are of sides 10 cm and 20 cm respectively. Cube A is attached to the centre of one of the sides of the Cube B. 5 litres of water is poured into the container such that water flows in to fill part of Cube A. What is the height of the water level in the container? Round off the answer to one decimal place.
3 m
Level 3
A rectangular block is sprayed grey on all the six faces before it is cut into 36 identical cubes as shown in the diagram. The total surface area of the 36 individual cubes is 576 cm2 more than the surface area of the original block that is sprayed grey. What is the volume of the rectangular block?
4 m
Level 3
The figure shows a rectangular glass tank partly filled with 1-cm cubes. After adding 1 extra cube,
  1. How many more cubes are needed to Tank completely?
  2. What is the volume of glass tank?
4 m